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Finding the Third Proportional to 24,220.90 and 51,945.26

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Solution

The third proportional to 24,220.90 and 51,945.26 is: 111,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,220.90 : 51,945.26 = 51,945.26 : x
  2. Step 2: Convert to fraction form
    24,220.90/51,945.26 = 51,945.26/x
  3. Step 3: Cross multiply
    24,220.90x = 51,945.26 × 51,945.26
  4. Step 4: Simplify right side
    24,220.90x = 2,698,309,809.21
  5. Step 5: Solve for x
    x = 2,698,309,809.21/24,220.90
  6. Step 6: Final answer
    x = 111,404.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.